2011011122121 has 16 divisors (see below), whose sum is σ = 2685909951744. Its totient is φ = 1338393538944.

The previous prime is 2011011122111. The next prime is 2011011122129. The reversal of 2011011122121 is 1212211101102.

It is a happy number.

It is not a de Polignac number, because 2011011122121 - 2⁷ = 2011011121993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011011122121.

It is not an unprimeable number, because it can be changed into a prime (2011011122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27752880 + ... + 27825246.

It is an arithmetic number, because the mean of its divisors is an integer number (167869371984).

Almost surely, 2^{2011011122121} is an apocalyptic number.

It is an amenable number.

2011011122121 is a deficient number, since it is larger than the sum of its proper divisors (674898829623).

2011011122121 is a wasteful number, since it uses less digits than its factorization.

2011011122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88000.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011011122121 its reverse (1212211101102), we get a palindrome (3223222223223).

The spelling of 2011011122121 in words is "two trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".